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Finding the Third Proportional to 202,099.64 and 317,034.21

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Solution

The third proportional to 202,099.64 and 317,034.21 is: 497,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,099.64 : 317,034.21 = 317,034.21 : x
  2. Step 2: Convert to fraction form
    202,099.64/317,034.21 = 317,034.21/x
  3. Step 3: Cross multiply
    202,099.64x = 317,034.21 × 317,034.21
  4. Step 4: Simplify right side
    202,099.64x = 100,510,690,904.76
  5. Step 5: Solve for x
    x = 100,510,690,904.76/202,099.64
  6. Step 6: Final answer
    x = 497,332.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.